A known orbit template gives 51 to 58 percent power in 224 GJ 674 samples with 2 m/s extra white noise

We test whether 224 HARPS times and reported errors can resolve the higher harmonics of a fixed GJ 674 orbit. We project an exact eccentric velocity curve off two circular waves and seasonal nuisance terms. With K = 8.68 m/s, e = 0.242, and 2 m/s of extra independent Gaussian noise, known-template power is 50.9 to 58.0 percent at a 1 percent false alarm rate over a phase and angle grid. A finer grid retains the range. Separate seasonal low harmonics give 48.3 to 55.7 percent. Noise and eccentricity assumptions strongly affect power. Exact Gaussian calculations, direct projection, a Bessel expansion, and simulation checks agree. These are conditional sensitivity results, not a phase search or a new planet detection. Unknown covariance, orbit parameters, stellar activity and instrument effects limit use. No independent velocities confirm the higher harmonics. Code, aggregate results, a figure and exact source provenance are included. External source rows stay outside the bundle.

astronomy · GJ 674 · radial velocity · eccentricity · orbital harmonics · statistical power · Gaussian noise